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Stochastic process with discrete movements
A jump process is a loose term describing a stochastic process that has discrete movements, called jumps. The jumps may arrive at fixed times (e.g., binomial
Jump_process
Equations characterizing continuous-time Markov processes
for continuous processes, now understood to be identical to the Fokker–Planck equation, the Kolmogorov forward equation for jump processes, and two Kolmogorov
Kolmogorov_equations
Stochastic process in probability theory
decomposable processes. Independent and identically distributed random variables Wiener process Poisson process Gamma process Markov process Lévy flight Jump diffusion
Lévy_process
Type of stochastic process
Jump diffusion is a stochastic process that involves jumps and diffusion. It is a type of Lévy process. It has important applications in magnetic reconnection
Jump_diffusion
Identity in Itô calculus analogous to the chain rule
dW(t)+dJ_{g}(t).\end{aligned}}} Itô's lemma for a process which is the sum of a drift-diffusion process and a jump process is just the sum of the Itô's lemma for
Itô's_lemma
Topics referred to by the same term
Look up Jump, jump, or jumping in Wiktionary, the free dictionary. Jump most commonly refers to jumping, a form of movement in which an organism propels
Jump
Generalization of Markov jump processes
Markov renewal processes are a class of random processes in probability and statistics that generalize the class of Markov jump processes. Other classes
Markov_renewal_process
Class of financial models with stochastic volatility and jumps
both a stochastic variance process and a jump component—typically modeled via a Poisson process or more general Lévy processes—SVJ models allow for more
Stochastic volatility jump models
Stochastic_volatility_jump_models
Random process independent of past history
happens. Define a discrete-time Markov chain Yn to describe the nth jump of the process and variables S1, S2, S3, ... to describe holding times in each of
Markov_chain
Solution to a stochastic differential equation
Fokker–Planck equation Markov process Diffusion Itô diffusion Jump diffusion Sample-continuous process "9. Diffusion processes" (PDF). Retrieved October 10
Diffusion_process
Random walk with random time between jumps
for a random time between jumps. It is a stochastic jump process with arbitrary distributions of jump lengths and waiting times. More generally it can be
Continuous-time_random_walk
Action in many equestrian sports
rider, and the heritability of jumping prowess have all been the focus of research. The airborne phase of the jumping process occurs between stance phases
Jumping_(horse)
Type of stochastic process in probability
symmetric Cauchy process. The Cauchy process has a number of properties: It is a Lévy process It is a stable process It is a pure jump process Its moments
Cauchy_process
Representation of a type of random process
a modelled representation of a type of random process. It can be used to describe time-varying processes from many natural and artificial sources. The
Autoregressive_model
Stochastic volatility model used in derivatives markets
{\displaystyle \max(F_{T}-K,\;0)} under the probability distribution of the process F t {\displaystyle F_{t}} . Except for the special cases of β = 0 {\displaystyle
SABR_volatility_model
Concept in probability
process has finite moments, distinguishing it from many Lévy processes. There is no diffusion component in the VG process and it is thus a pure jump process
Variance_gamma_process
Learner-centric pedagogy
and reasoning to construct their own learning. The Maastricht seven-jump process involves clarifying terms, defining problem(s), brainstorming, structuring
Problem-based_learning
Theorem in probability theory
Similar theorems also exist for martingales on filtrations induced by jump processes, for example, by Markov chains. Let B t {\displaystyle B_{t}} be a Brownian
Martingale representation theorem
Martingale_representation_theorem
Type of stochastic process
jump process. Every finite-variation semimartingale is a quadratic pure-jump semimartingale. An adapted continuous process is a quadratic pure-jump semimartingale
Semimartingale
statistics, a continuous-time stochastic process, or a continuous-space-time stochastic process is a stochastic process for which the index variable takes a
Continuous-time stochastic process
Continuous-time_stochastic_process
Dynamical system that exhibits continuous and discrete dynamic behavior
Piecewise-deterministic Markov process (PDMP), an example of a (stochastic) hybrid system and a generalization of the jump process Jump diffusion, an example of
Hybrid_system
Method for stochastic equation systems
time-evolution of stochastic processes that proceed by jumps, today known as Kolmogorov equations (Markov jump process) (a simplified version is known
Gillespie_algorithm
Physical jumping exercise
A jumping jack, also known as a star jump and called a side-straddle hop in the US military, is a physical jumping exercise performed by jumping to a position
Jumping_jack
Allegation of using gimmicks to retain audience
The idiom "jumping the shark", or "shark jumping", or to "jump the shark"; means that a creative work or entity has evolved and reached a point in which
Jumping_the_shark
Equations governing time evolution of physical systems
the master equation represents a kinetic scheme, and the process is Markovian (any jumping time probability density function for state i is an exponential
Master_equation
Randomly determined process
frequency modulated) dot pattern creates a sharper image. Jump process Sortition Stochastic process Doob, when citing Khinchin, uses the term 'chance variable'
Stochastic
Concept in statistics
functions of the variables. A one-dimensional GRF is also called a Gaussian process. An important special case of a GRF is the Gaussian free field. With regard
Gaussian_random_field
Model in theoretical ecology and statistical mechanics
Bunin, Guy (2024-03-05). "Many-Species Ecological Fluctuations as a Jump Process from the Brink of Extinction". Physical Review X. 14 (1) 011037. arXiv:2306
Random generalized Lotka–Volterra model
Random_generalized_Lotka–Volterra_model
swarms. The EVZ will eventually take over the WVZ according to the rift-jump process. The 50-kilometre-wide (31 mi) Northern volcanic zone (NVZ) is composed
Geological deformation of Iceland
Geological_deformation_of_Iceland
Probability concept
{\text{Exp}}(18)} . When a transition is to be made, the process moves according to the jump chain, a discrete-time Markov chain with stochastic matrix:
Continuous-time_Markov_chain
Cadlag in probability theory
a Lévy process (a Lévy process is an additive process with stationary increments). An example of an additive process that is not a Lévy process is a Brownian
Additive_process
Topics referred to by the same term
Kolmogorov equations (Markov jump process), relating to discrete processes Fokker–Planck equation, relating to diffusion processes This disambiguation page
Kolmogorov_forward_equations
Track and field event
The long jump is a track and field event in which athletes combine speed, strength and agility in an attempt to leap as far as possible from a takeoff
Long_jump
Model used in financial mathematics
implementation" [1] Phelim Boyle, 1986. "Option Valuation Using a Three-Jump Process", International Options Journal 3, 7–12. Rubinstein, M. (2000). "On the
Trinomial_tree
Track and field event
The high jump is a track and field event in which competitors must jump unaided over a horizontal bar placed at measured heights without dislodging it
High_jump
Central computer component that executes instructions
A central processing unit (CPU), also known as a central processor, main processor, or simply processor, is the primary processor in a given computer
Central_processing_unit
Differential equations involving stochastic processes
However, other types of random behaviour are possible, such as jump processes like Lévy processes or semimartingales with jumps. Stochastic differential equations
Stochastic differential equation
Stochastic_differential_equation
Branch of mathematical finance based on stochastic processes
introduction to derivative pricing, and Cont & Tankov’s monograph on jump processes. Mathematical finance Quantitative finance Risk-neutral measure Martingale
Stochastic_finance
Suicide method
Suicide by jumping from height is a common suicide method where a person jumps and falls from a dangerous location, such as from a high window, balcony
Suicide by jumping from height
Suicide_by_jumping_from_height
non-diffusion models of applied probability." The process is defined by three quantities: the flow, the jump rate, and the transition measure. The model was
Piecewise-deterministic Markov process
Piecewise-deterministic_Markov_process
Physical Process
moving between adjacent (nearest-neighbor) adsorption sites by a jumping process. The jump rate is characterized by an attempt frequency and a thermodynamic
Surface_diffusion
Iranian mathematician (born 1972)
quantitative finance he is known in particular for his work on models based on jump processes, the stochastic modelling of limit order books as queueing systems
Rama_Cont
French mathematician
13 November 1944) is a French mathematician specializing in stochastic processes and probability theory. He has been a professor at the Université Pierre
Jean_Jacod
Black–Scholes Cox–Ingersoll–Ross model Forward measure Heston model / scl Jump process Jump-diffusion model Kelly criterion Market risk Mathematics of bookmaking
Catalog of articles in probability theory
Catalog_of_articles_in_probability_theory
Thermodynamic process in which no mass or heat is exchanged with surroundings
An adiabatic process (adiabatic from Ancient Greek ἀδιάβατος (adiábatos) 'impassable') is a type of thermodynamic process whereby a transfer of energy
Adiabatic_process
Method used to kill bison en masse
A buffalo jump, or sometimes bison jump, is a cliff formation that Indigenous peoples of North America, beginning with the Clovis culture (c. 11,100–10
Buffalo_jump
Specialized electronic circuit that accelerates graphics
A graphics processing unit (GPU) is a specialized electronic circuit designed for digital image processing and to accelerate computer graphics, being
Graphics_processing_unit
Jump vertically in the air
A vertical jump or vertical leap is the act of jumping upwards into the air. It can be an exercise for building both endurance and strength, and is also
Vertical_jump
Concept in game theory
not governed by differential equations, such as those with stochastic jump processes, where abrupt, unpredictable events introduce discontinuities. Early
Differential_game
Historic site in Alberta, Canada
Head-Smashed-In Buffalo Jump (Blackfoot: Estipah-skikikini-kots) is a museum of Blackfoot culture 18 kilometres (11 mi) west of Fort Macleod, Alberta,
Head-Smashed-In_Buffalo_Jump
2025 studio album by OsamaSon
the creation of Jump Out differently, but added elements from his old music to create something new. He adopted a new recording process after working with
Jump_Out
Stochastic process for effort or wear
{\displaystyle \Gamma (t;\gamma ,\lambda )} (the gamma process). The process is a pure-jump increasing Lévy process with intensity measure ν ( x ) = γ x − 1 exp
Gamma_process
Type of associative learning process for behavioral modification
Operant conditioning, also called instrumental conditioning, is a learning process in which voluntary behaviors are modified by association with the addition
Operant_conditioning
Matrix describing continuous-time Markov chains
Suhov & Kelbert 2008, Definition 2.1.1. Asmussen, S. R. (2003). "Markov Jump Processes". Applied Probability and Queues. Stochastic Modelling and Applied Probability
Transition-rate_matrix
Operation in computability theory
In computability theory, the Turing jump or Turing jump operator, named for Alan Turing, is an operation that assigns to each decision problem X a successively
Turing_jump
Interacting particle system
a jump, one site to the right with probability p {\displaystyle p} and one site to the left with probability q {\displaystyle q} . However, the jump is
Asymmetric simple exclusion process
Asymmetric_simple_exclusion_process
Maximum-intensity explosive exercises
example, a person lands after jumping and absorbs any shock. The thigh (quadricep) muscles extend during this process. The amortization phase begins
Plyometrics
Digital circuit
the conditional jump has passed the execution stage in the instruction pipeline (see fig. 1). Without branch prediction, the processor would have to wait
Branch_predictor
Instruction in computer program
A branch, jump or transfer is an instruction in a computer program that can cause a computer to begin executing a different instruction sequence and thus
Branch_(computer_science)
Family of spiders
Jumping spiders are spiders in the family Salticidae, with almost 700 genera and around 7,000 described species, making it the largest family of spiders –
Jumping_spider
Japanese manga series by Yukinobu Tatsu
illustrated by Yukinobu Tatsu. It has been serialized in Shueisha's Shōnen Jump+ app and website since April 2021, with its chapters collected in 24 tankōbon
Dandadan
Technique for the generative modeling of a continuous probability distribution
}(x_{t},t)}{\sqrt {{\bar {\alpha }}_{t}}}}} then the backward diffusion process can jump to any step 0 ≤ s < t {\displaystyle 0\leq s<t} , and the next denoised
Diffusion_model
Japanese manga series
and illustrated by Naoki Fujita. It was serialized on Shueisha's Shōnen Jump+ app and website from February 2023 to January 2025, with its individual
Beat_&_Motion
Technique used for writing to DVD-R Dual Layer discs
Layer Jump Recording (LJR) is a writing method used for DVD-R DL (Dual Layer). LJR alternates between recording layers during the writing process, as compared
Layer_Jump_Recording
Species of beetle
triangular plate also works in conjunction with the meta femoral spring. The jump process physiologically takes place through four phases. In the first phase,
Blepharida_rhois
Video game series
JumpStart (known as Jump Ahead in the United Kingdom) was an educational media franchise created for children, primarily consisting of educational games
JumpStart
Type of subroutine call
reaches the end of the routine which now says "jump to the return address". As writing to memory is a slow process compared to register access, this methodology
Wheeler_Jump
Japanese manga series
magazine Weekly Shōnen Jump in February 2015. The series ran in the magazine until August 2023, after which it moved to Jump Giga in December of that
Black_Clover
Rings used to make chains, jewelry and chain mail
Jump rings are (usually metal) rings used to make chains, jewellery and chain mail. They are made by wrapping wire around a mandrel to make a coil, then
Jump_rings
Rogalski, Richard J.; Jarrow, Robert A. (December 1977). "An Autoregressive Jump Process for Common Stock Returns". Journal of Financial Economics. 5 (3): 389–418
Robert_A._Jarrow
Mathematical proof technique
In number theory, Vieta jumping, also known as root flipping, is a proof technique. It is most often used for problems in which a relation between two
Vieta_jumping
Equation from probability theory
{\displaystyle A(x,t)=0} and suppressing the jump term. The Fokker–Planck equation describes a Markov process with drift and diffusion, but without jumps
Chapman–Kolmogorov_equation
Stochastic process
In mathematics probability theory, a basic affine jump diffusion (basic AJD) is a stochastic process Z of the form d Z t = κ ( θ − Z t ) d t + σ Z t d
Basic_affine_jump_diffusion
Random process in probability theory
a compound Poisson process, parameterised by a rate λ > 0 {\displaystyle \lambda >0} and jump size distribution G, is a process { Y ( t ) : t ≥ 0 } {\displaystyle
Compound_Poisson_process
the political divisions of the United States for postal addresses, data processing, general abbreviations, and other purposes. This table includes abbreviations
List of U.S. state and territory abbreviations
List_of_U.S._state_and_territory_abbreviations
Species of spider
The zebra spider (Salticus scenicus) or zebra jumping spider is a common jumping spider of the Northern Hemisphere. The common name refers to its vivid
Zebra_spider
probability distribution Jonckheere's trend test JMP (statistical software) Jump process Jump-diffusion model Junction tree algorithm K-distribution K-means algorithm –
List_of_statistics_articles
American actor and film producer (born 1962)
Olympics closing ceremony to promote Los Angeles 2028 Summer Olympics, by jumping from the roof of the Stade de France stadium in Paris. He took the flag
Tom_Cruise
nation Canada. This process started on 18 January 2010 and ran until 28 January 2010. Deadline to VANOC was 1 February 2010. "Ski Jumping at the 2010 Vancouver
Ski jumping at the 2010 Winter Olympics
Ski_jumping_at_the_2010_Winter_Olympics
The stump-jump plough, also known as stump-jumping plough, is a kind of plough invented in South Australia by Richard Bowyer Smith and Clarence Herbert
Stump-jump_plough
Australian triple jumper
medal in the triple jump at the 1924 Summer Olympics in Paris, in the process setting a new world record. His medal-winning jump remained an Australian
Nick_Winter
processes Basic affine jump diffusion Bernoulli process: discrete-time processes with two possible states. Bernoulli schemes: discrete-time processes
List of stochastic processes topics
List_of_stochastic_processes_topics
Basic instruction cycle in a computer
branch. Repeat cycle In addition, on most processors, interrupts can occur. This will cause the CPU to jump to an interrupt service routine, execute that
Instruction_cycle
Area of applied mathematics
significant, with dynamics commonly modeled as continuous-time Markov jump processes governed by the chemical master equation. Beyond describing stochastic
Chemical reaction network theory
Chemical_reaction_network_theory
Stochastic Markov process
consider a jump process ( J s N ) s ≥ 0 {\displaystyle (J_{s}^{N})_{s\geq 0}} with states { + 1 , − 1 } {\displaystyle \{+1,-1\}} and jump rate N {\displaystyle
Brownian_snake
American filmmaking and acting duo
They were the directors of the live-action comedy films 21 Jump Street (2012) and 22 Jump Street (2014), and the science fiction adventure film Project
Phil Lord and Christopher Miller
Phil_Lord_and_Christopher_Miller
Type of stochastic process
S {\displaystyle S} . More precisely IPS are continuous-time Markov jump processes describing the collective behavior of stochastically interacting components
Interacting_particle_system
Type of mathematical measure
1974, p. 45 Cont, Rama, and Peter Tankov. Financial modelling with jump processes. Chapman & Hall, 2004. Bourbaki 2004a, Exercise 5 of section 1 Bogachev
Radon_measure
Species of arachnid (type of jumping spider)
the bold jumper or daring jumping spider, is a common species of spider belonging to the genus Phidippus, a group of jumping spiders easily identified
Phidippus_audax
Television sports talk program
Jump temporarily ended production between March 20, 2020, and April 12, 2020. The Jump returned as a half-hour show on April 13, 2020, in the process
The_Jump_(talk_show)
Overview of finance and finance-related topics
stochastic processesPages displaying short descriptions of redirect targets Stochastic process – Collection of random variables Jump process – Stochastic
Outline_of_finance
Sports based on running, jumping or throwing
The jumping and throwing events are won by those who achieve the greatest distance or height. Regular jumping events include long jump, triple jump, high
Track_and_field
appears in platform games alongside abilities like wall jumping and double jumping. wall jump A jump performed off of a vertical surface to propel the player
Glossary_of_video_game_terms
Program that combines intermediate build files into an executable file
that place a requirement on the address of another object. For example, a jump instruction can reference an absolute address or an offset from the current
Linker_(computing)
Dominica triple jumper (born 1994)
field athlete who competes in the triple jump. At the 2024 Summer Olympics, she won gold in the triple jump to claim the first-ever Olympic medal for
Thea_LaFond
Rogalski,Richard J.; Jarrow, Robert A. (December 1977). "An Autoregressive Jump Process for Common Stock Returns". Journal of Financial Economics. 5 (3): 389–418
George_S._Oldfield
Method of transferring program control to another part of a program
In computer programming, a branch table or jump table is a method of transferring program control (branching) to another part of a program (or a different
Branch_table
Upcoming multi-sport event
majority of Swiss support 2038 Winter Olympics bid as other nations prepare to jump in if plans fail". Games Bids. MacGillivray, Ken (9 April 2026). "Premier
Bids for the 2038 Winter Olympics
Bids_for_the_2038_Winter_Olympics
National Basketball Association team in Philadelphia, Pennsylvania
followed that with a jump shot after which he infamously stepped over Tyronn Lue after making the basket. Eric Snow hit a running jump shot in the waning
Philadelphia_76ers
Equestrian games
Federation for Equestrian Sports (FEI). For team events in the dressage, show jumping and eventing disciplines, these Games are the first qualifying event for
2026_FEI_World_Championships
JUMP PROCESS
JUMP PROCESS
Male
Greek
(Αἴσωπος) Original Greek form of Latin Æsop, the name of the author of Æsop's Fables, said to be a hump-backed slave of African descent; therefore, the name has taken on the AISOPOS means "hump-backed," but in Greek it means "Ethiop."Â
Girl/Female
African, Hindu, Indian
Friday; Holy Day
Surname or Lastname
English (Kent)
English (Kent) : apparently a nickname from Middle English sterten ‘to leap or jump’ + up. Reaney and Wilson note that startup was the original form of ‘upstart’ and also the name of a kind of rustic boot and believe these senses may have contributed to the surname, although neither is recorded beofe the 16th century.
Boy/Male
Hindu, Indian
Jump
Surname or Lastname
English
English : nickname for a person with a large behind, from Old English rumpe ‘buttocks’.German : variant spelling of Rumpf.German : from a short form of Rumpel.
Boy/Male
Arabic, Christian
Hump of a Camel; Hard; Stony Region
Surname or Lastname
English (Bedfordshire)
English (Bedfordshire) : nickname for someone disfigured by a lump or hump, from a diminutive of Old French bugne ‘swelling’, ‘protuberance’. The term bugnon was also applied to a kind of puffed-up fruit tart, and so the surname may also have been a metonymic occupational name for a baker of these.
Boy/Male
Arabic, Hindu, Indian, Italian, Muslim
Moon; Lump of Earth
Surname or Lastname
English (Lancashire)
English (Lancashire) : unexplained.
Girl/Female
Tamil
Born on a friday
Surname or Lastname
English (Devon)
English (Devon) : possibly a nickname, as Reaney suggests, for someone having a prominent lump or swelling, from Middle English boni, buny ‘swelling’, ‘bunion’ (see Bunyan). It is also possibly a topographic name from the southwestern English dialect word bunny ‘ravine’.
Boy/Male
Indian
Lump of earth
Girl/Female
Hindu
Born on a friday
Boy/Male
Arabic, Australian, Hebrew, Jewish
Hump of a Camel; Name of Mountain; Endless Joy
Girl/Female
American, Australian, Jamaican
Productive; Quietness; Earth; Lump of Earth
Male
Irish
Variant spelling of Irish Meallán, MELLAN means "little lump."
Surname or Lastname
English (East Anglia)
English (East Anglia) : unexplained. Perhaps a variant of Rump.German : variant of Rump 3.
Boy/Male
Muslim
Lump of earth
Boy/Male
Muslim/Islamic
Friday
Boy/Male
African, Arabic, Muslim, Sindhi, Swahili
Friday
JUMP PROCESS
JUMP PROCESS
Girl/Female
Arabic, Muslim
Precious; Expensive; Costly; Dear
Girl/Female
British, English
Whiskey
Girl/Female
Hindu, Indian, Marathi
Flashing
Female
Polish
Polish form of Greek Margarites, MAÅGORZATA means "pearl."
Girl/Female
Australian, Italian, Portuguese
Gift from God; God is Gracious; Female Version of John
Female
Spanish
Spanish name MARTIRIO means "martyrdom."
Girl/Female
Hindu
Girl/Female
Hindu
Boy/Male
Greek American Shakespearean
People's victory. St. Nicholas is the patron saint of children, sailors, and pawnbrokers - Santa...
Male
English
Anglicized form of Hebrew Chananyah, HANANIAH means "whom Jehovah has graciously given." In the bible, this is the name of many characters, including a friend of Daniel, a general, a priest, and an officer who lived during the reign of King Uzziah.
JUMP PROCESS
JUMP PROCESS
JUMP PROCESS
JUMP PROCESS
JUMP PROCESS
n.
A protuberance; a hunch; a knob or lump; a hump.
v. t.
To cause to jump; as, he jumped his horse across the ditch.
p. pr. & vb. n.
of Jump
n.
A small mass of matter of irregular shape; an irregular or shapeless mass; as, a lump of coal; a lump of iron ore.
n.
A swelling or prominence, resulting from a bump or blow; a protuberance.
n.
The for pump in the pit.
v. t.
To strike, as with or against anything large or solid; to thump; as, to bump the head against a wall.
imp. & p. p.
of Jump
v. t.
To draw water, or the like, from; to from water by means of a pump; as, they pumped the well dry; to pump a ship.
v. t.
To raise with a pump, as water or other liquid.
v. i.
To spring or move suddenly, as by a jump or by jumps; to bound; to move swiftly. Also Fig.
v. i.
To work, or raise water, a pump.
v. t.
To put or throw down with more or less of violence; hence, to unload from a cart by tilting it; as, to dump sand, coal, etc.
n.
One of the protuberances on the cranium which are associated with distinct faculties or affections of the mind; as, the bump of "veneration;" the bump of "acquisitiveness."
v. t.
To form a mass of earth or a hillock about; as, to tump teasel.
v. t.
To work over with the mouth; to mumble; as, to mump food.
v. t.
To pass by a spring or leap; to overleap; as, to jump a stream.
v. i.
To get along with as one can, although displeased; as, if he does n't like it, he can lump it.